Import context: Poincare/SmoothGradient/Comparison

Definition

KLSModular_FunctionalInequalities_Poincare_SmoothGradient_Comparison

by Lazyfill · Oct 25, 2026 · Mathlib 0df444a (Lean v4.33.1)

functional-inequalitiesimport-contextklskls-conjecturekls-modularlog-concavemodule-contextpoincare-inequality

This bundle retains the import context of the source module FunctionalInequalities.Poincare.SmoothGradient.Comparison in the modular KLS dependency graph. It adds no new mathematical declarations. Substantive statements and proofs are represented by separate theorem nodes.

Its direct project prerequisite modules are FunctionalInequalities.Energy.SmoothGradient.Intrinsic.Comparison, FunctionalInequalities.Poincare.SmoothGradient.Intrinsic, and FunctionalInequalities.Poincare.SmoothGradient.Ambient.

Original module imports

import FunctionalInequalities.Energy.SmoothGradient.Intrinsic.Comparison
import FunctionalInequalities.Poincare.SmoothGradient.Intrinsic
import FunctionalInequalities.Poincare.SmoothGradient.Ambient

Module navigation

Direct project imports: Energy/SmoothGradient/Intrinsic/Comparison, Poincare/SmoothGradient/Intrinsic, Poincare/SmoothGradient/Ambient.

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Poincare.SmoothGradient.Comparison · Frozen source 408915f.

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_Energy_SmoothGradient_Intrinsic_Comparison
import Definitions.Def_KLSModular_FunctionalInequalities_Poincare_SmoothGradient_Intrinsic
import Definitions.Def_KLSModular_FunctionalInequalities_Poincare_SmoothGradient_Ambient

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Poincare/SmoothGradient/Comparison.lean#L1-L42 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Poincare.SmoothGradient.Comparison`, import-context bundle `KLSModular_FunctionalInequalities_Poincare_SmoothGradient_Comparison`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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